The Elements of Euclid: With Select Theorems Out of Archimedes
J. Senex, 1727 - Euclid's Elements - 239 pages
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The Elements of Euclid: With Select Theorems Out of Archimedes (Classic Reprint)
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The Elements of Euclid; With Select Theorems Out of Archimedes
No preview available - 2015
Common terms and phrases
alſo Altitude Arch Baſe becauſe betwixt themſelves Body Book Centre Circle Circumference circumſcrib'd common Cone conical conſequently Conſtruction contain Coroll Corollary Cylinder Defin demonſtrated deſcribe Diameter Difference divided double draw drawn equal equilateral fall fame Figure firſt fore foregoing four given greater half hath Height Hence Hypotheſis infinitely inſcrib'd inſcribed leſs likewiſe Line BC manifeſt mean meaſure meet multiplied Number oppoſite parallel Parallelepiped Parallelogram perpendicular Plane Point Polygon portion Priſm Problem PROP Proportion Propoſition Pyramids Radius Rectangle regular remains right Angle right Line ſaid ſame ſame manner ſay Scholium ſeeing Segment ſhall ſhew'd Sides Solid Sphere Square Superficies Surface taken Theorem theſe Thing third thoſe thro touch Triangle unto Uſe whatſoever Wherefore whole whoſe
Page 21 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Page xviii - A Scheme of the Solar Syftem, with the orbits of the planets and comets belonging thereto, defcribed from Dr. Halley's accurate Table of Comets, Philofoph.
Page xviii - Difcovery of Divine Truth : And of the Degree of Evidence that , ought to be expected in Divine Matters, 8vo.
Page xviii - Syllem briefly demonftrated. IV. Certain Obfervations drawn from that Syftem. V. Probable Conjectures of the Nature and Ufes of the feveral celeftial Bodies contain'd in the fame Syflem.
Page xviii - DHcovery of divine Truth, and of the degree of Evidence that ought to be expected in divine Matters. By William WbiftvK, MA Ibmetime Profeffor of the Mathematicks in the Univerfity of Cambridge.
Page 11 - Because the angle A is equal to the angle C, and the angle...
Page xviii - Bodies contained in the fame Syftem. VI.' Important Principles of NATURAL RELIGION Demonftrated from the foregoing Obfervations.
Page xix - How great a Geometrician art thou, O Lord! For while this Science has no Bounds, while there is for ever room for the Discovery of New Theorems, even by Human Faculties; Thou art acquainted with them all at one View, without any Chain of Consequences, without any Fatigue of Demonstrations.
Page 211 - Side next to the Diameter : and let the right Lines BH, CG, DF, join the Angles which are equally diftant from A. I fay that the...
Page 221 - Axis, is alfo given j it is manifeft that each of the Segments become known. Now both the foregoing, and all the reft of the Theorems which follow...